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Defence lawyer Paul Chapman said this transfer could have been through Pfennig's daughter, who went to school with Louise and played on the same basketball team.

The Court of Criminal Appeal delivered its decision on Tuesday, granting Pfennig permission to appeal against the conviction.

"I grant permission to the applicant to appeal on the ground that the verdict is unreasonable or incapable of being supported, having regard to the evidence," Justice Malcolm Blue said in his judgment.

Prosecutors previously discounted the involvement of Pfennig's daughter, saying she was not close friends with Louise and the last known contact was before the pyjamas were bought.

When he was charged with the girl's murder, Pfennig was already in prison for killing another child, 10-year-old Michael Black, in 1989.

Justice Michael David found him guilty of killing Louise last November after a lengthy trial, describing the killing as "a most evil crime".

"The shock and anxiety that your crimes caused in the SA community cannot be compared to the distress that must have been suffered by the family of Louise Bell," Justice David said.